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Finding the Fourth Proportional to 398.53, 550.00 and 232.79

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Solution

The fourth proportional to 398.53, 550.00 and 232.79 is: 321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.53 : 550.00 = 232.79 : x
  2. Step 2: Convert to fraction form
    398.53/550.00 = 232.79/x
  3. Step 3: Cross multiply
    398.53x = 550.00 × 232.79
  4. Step 4: Simplify right side
    398.53x = 128,036.62
  5. Step 5: Solve for x
    x = 128,036.62/398.53
  6. Step 6: Final answer
    x = 321.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.